A study of the reflection of infrared radiation at a wavelength of 1530 nm from the surface of HgSe single crystals in a two-beam pump-probe fiber-optic scheme was carried out using the thermoreflectometry (TR) method with a Fabry-Perot interferometer (FP). Along with the “high-temperature” anomaly of the probe laser signal (at T > 100 K) in the relaxation region, a “low-temperature” anomaly was revealed in the heating region, consisting in a change in signal polarity at T < 50 K. A qualitative interpretation of the observed features of the relative intensity of the reflected signal in the region of heating and relaxation is proposed, based on the hypothesis of two types of Weyl nodes in HgSe with bulk and surface chiral states.